0.1 Isogonal Conjugate
The isogonal conjugate of a point \(P\) with respect to a triangle is an interesting well-defined point that can be expanded to different techniques and patterns. Although the name suggests the definition of the point, here is the definition.
Definition 0.1.1
The isogonal conjugate of a point \(P\) with respect to a triangle \(ABC\) is the intersection of the reflections of \(AP, BP, CP\) with respect to the angle bisectors at \(A\), \(B\), and \(C\).
To better understand this topic, consider the following diagram.